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- W3096586191 abstract "This article applies perturbation theory to obtain an asymptotic expansion that approximates the Radiative Transfer Equation (RTE) Green’s function. The integral (source function) formulation of the RTE yields a recursive operator; applying the operator once to a point source collimated beam yields a closed-form extension to Beer’s Law. In the weakly scattering range (i.e., albedo below 0.36 or domain optical thickness below 0.85), the approximation correctly describes the energy transported in phase space for any phase function (mean squared errors below 10%). Besides the theoretical methodology’s value, the closed-form approximation allows developing a deterministic numerical method, free of directional meshes, that computes the global irradiance field in three-dimensional enclosures under different internal and boundary conditions. For the cases tested, its accuracy and versatility are comparable to a Monte Carlo method in the weakly scattering range, while its computational efficiency resembles that of the P1 approximation." @default.
- W3096586191 created "2020-11-09" @default.
- W3096586191 creator A5014670833 @default.
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- W3096586191 date "2021-03-01" @default.
- W3096586191 modified "2023-10-18" @default.
- W3096586191 title "The first-order scattering approximation: A closed-form extension to Beer’s law, accurate for weakly scattering media" @default.
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- W3096586191 doi "https://doi.org/10.1016/j.jqsrt.2020.107412" @default.
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